Does moment of inertia of a rigid body change with the speed of rotation? Explain.

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Solution

$M o m e n t o f i n e r t i a i s g i v e n b y : I = m r^{2} w h e r e m i s t h e m a s s o f t h e b o d y a n d r i s t h e p e r p e n d i c u l a r d i s \tan c e f r o m t h e a x i s o f r o t a t i o n . S o m o m e n t o f i n e r t i a o n l y d e p e n d s o n t h e m a s s o f t h e b o d y a n d r, s o t h e r e w i l l b e n o e f f e c t o f s p e e d o f r o t a t i o n o n m o m e n t o f i n e r t i a, h e n c e i t w i l l r e m a i n s a m e .$

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